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Finding the Fourth Proportional to 294,517.10, 442,006.05 and 136,765.10

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Solution

The fourth proportional to 294,517.10, 442,006.05 and 136,765.10 is: 205,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,517.10 : 442,006.05 = 136,765.10 : x
  2. Step 2: Convert to fraction form
    294,517.10/442,006.05 = 136,765.10/x
  3. Step 3: Cross multiply
    294,517.10x = 442,006.05 × 136,765.10
  4. Step 4: Simplify right side
    294,517.10x = 60,451,001,628.86
  5. Step 5: Solve for x
    x = 60,451,001,628.86/294,517.10
  6. Step 6: Final answer
    x = 205,254.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.